Conjugation spaces and edges of compatible torus actions

DOI10.1007/978-0-8176-8244-6_7zbMath1266.55005arXiv0807.3289OpenAlexW1556309891MaRDI QIDQ2914654

Tara S. Holm, Jean-Claude Hausmann

Publication date: 20 September 2012

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3289

zbMATH Keywords

edgeskeletonreal locusconjugation spaceHamiltonian T-manifold

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Group actions and symmetry properties (58D19)

Related Items (2)

Involutions on \(S^6\) with 3-dimensional fixed point set ⋮ Conjugation spaces and 4-manifolds

Cites Work

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• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• Convex polytopes, Coxeter orbifolds and torus actions
• Steenrod squares on conjugation spaces
• Exact cohomology sequences with integral coefficients for torus actions
• Convexity properties of the moment mapping
• The cohomology ring of polygon spaces
• Equivariant cohomology, Koszul duality, and the localization theorem
• Moment maps and Riemannian symmetric pairs
• The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
• Koszul duality and equivariant cohomology
• Topological Schur lemma and related results
• Conjugation spaces
• The equivariant cohomology of hypertoric varieties and their real loci
• A convexity theorem for the real part of a Borel invariant subvariety
• Convexity and Commuting Hamiltonians
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• Real loci of symplectic reductions

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